compas.geometry.Bezier

class compas.geometry.Bezier(points)[source]

Bases: compas.geometry.primitives._primitive.Primitive

A Bezier curve.

A Bezier curve of degree n is a linear combination of n + 1 Bernstein basis polynomials of degree n.

Parameters

points (sequence) – A sequence of control points, represented by their location in 3D space.

Attributes

  • data (dict) – The dictionary representation of the curve.

  • points (list of compas.geometry.Point) – The control points of the curve.

  • degree (int, read-only) – The curve degree.

Examples

>>> curve = Bezier([[0.0, 0.0, 0.0], [0.5, 1.0, 0.0], [1.0, 0.0, 0.0]])
>>> curve.degree
2

Methods

copy([cls])

Make an independent copy of the data object.

from_data(data)

Construct a curve from its data representation.

from_json(filepath)

Construct an object from serialized data contained in a JSON file.

from_jsonstring(string)

Construct an object from serialized data contained in a JSON string.

locus([resolution])

Compute the locus of all points on the curve.

point(t)

Compute a point on the curve.

tangent(t)

Compute the tangent vector at a point on the curve.

to_data()

Convert an object to its native data representation.

to_json(filepath[, pretty])

Serialize the data representation of an object to a JSON file.

to_jsonstring([pretty])

Serialize the data representation of an object to a JSON string.

transform(transformation)

Transform the primitive.

transformed(transformation)

Returns a transformed copy of this primitive.

validate_data()

Validate the object’s data against its data schema (self.DATASCHEMA).

validate_json()

Validate the object’s data against its json schema (self.JSONSCHEMA).

Attributes

DATASCHEMA

The schema of the data of this object.

JSONSCHEMA

The schema of the JSON representation of the data of this object.

data

The data dictionary that represents the curve.

degree

The degree of the curve.

dtype

The type of the object in the form of a “2-level” import and a class name.

guid

The globally unique identifier of the object.

name

The name of the object.

points

The control points.